Chaoxi Zhu

collaborators

4 papers

math.NT2021

On the number of zeros to the equation $f (x_{1}) + ... + f (x_{n}) = a$ over finite fields

Chaoxi Zhu, Yulu Feng, Shaofang Hong +1

Let $p$ be a prime, $k$ a positive integer and let $F_{q}$ be the finite field of $q = p^{k}$ elements. Let $f (x)$ be a polynomial over $F_{q}$ and $a \in F_{q}$ . We d…

math.NT2021

On the number of zeros of diagonal quartic forms over finite fields

Junyong Zhao, Yulu Feng, Shaofang Hong +1

Let $F_{q}$ be the finite field of $q = p^{m} \equiv 1 (mod 4)$ elements with $p$ being an odd prime and $m$ being a positive integer. For $c, y \in F_{q}$ with $y\in\mathbb…

math.NT2021

Sums of polynomial-type exceptional units modulo $n$

Junyong Zhao, Shaofang Hong, Chaoxi Zhu

Let $f (x) \in Z [x]$ be a nonconstant polynomial. Let $n, k$ and $c$ be integers such that $n \geq 1$ and $k \geq 2$ . An integer $a$ is called an $f$ -exunit in the ring $\mathbb{…

math.NT2020

On the number of zeros of diagonal cubic forms over finite fields

Shaofang Hong, Chaoxi Zhu

Let $F_{q}$ be the finite field with $q = p^{k}$ elements with $p$ being a prime and $k$ be a positive integer. For any $y, z \in F_{q}$ , let $N_{s} (z)$ and $T_{s} (y)$ denote…

On the number of zeros to the equation f(x1​)+...+f(xn​)=a over finite fields

On the number of zeros of diagonal quartic forms over finite fields

Sums of polynomial-type exceptional units modulo n

On the number of zeros of diagonal cubic forms over finite fields

On the number of zeros to the equation $f (x_{1}) + ... + f (x_{n}) = a$ over finite fields

Sums of polynomial-type exceptional units modulo $n$